Prerequisites: (INAF U6301 or INAF U6022 or INAF U6045) and SIPA U6200. This course considers Corporate Finance topics from a strategic and tactical perspective. It builds on the accounting and valuation techniques introduced in U6301 by providing insights into global capital markets, the application of forecasting and valuation and consideration of ESG and Investor Activism. The course will combine lecture time and in-class case analysis and discussions. The course’s goal is to provide students with an understanding of how corporates and investors forecast cash-flow and effectively and responsibly build and allocate capital.
A course on contemporary transatlantic economic relations with particular emphasis on the US-EU dimension. Topics include: macroeconomic responses to the Covid-19 crisis and lessons learned from the financial crises of 2008 and 2010; US-EU differences in relations with China; transatlantic implications of Brexit; prospects for US-UK and US-EU trade agreements; the digital economy and data privacy; European competition and tax policy toward U.S. high tech firms; dollar-euro diplomacy and the international roles of the dollar and euro; the economic dimension to transatlantic security.
Designed for first-year graduate students. An introduction to the conceptual and practical tools of literary research.
Sec. 1: Ethnomusicology; Sec. 2: Historical Musicology; Sec. 3: Music Theory; Sec. 4: Music Cognition; Sec. 5: Music Philosophy.
Prerequisite: Public Health P6103 or P6104. The study of linear statistical models. Regression and correlation with one independent variable. Partial and multiple correlation. Multiple and polynomial regression. Single factor analysis of variance. Simple logistic regression
Most existing reinforcement learning (RL) research is in the framework of discrete-time Markov Decision Processes (MDPs). Many real world applications, however, call for RL in continuous time with possibly continuous state and action spaces, such as high frequency trading and autonomous driving. Moreover, when cast in continuous time/spaces, it is possible to provide a theoretical and interpretable foundation for RL heuristics due to the availability of many technical tools such as stochastic analysis, stochastic control and differential equations.
This PhD reading course will center around reinforcement learning in continuous time/spaces and applications especially to financial engineering. Students will take turns to present research papers, either important ones in the literature or their own papers, on topics including but not limited to exploration via randomization, entropy regularization, Boltzmann exploration, policy evaluation, policy gradient, q-learning, Langevin diffusions and application to nonconvex optimization, and mean-variance portfolio selection. The objective is to stimulate interest in this emerging, largely unexplored area, to motivate new problems, and to inspire innovative approaches to solve research problems.
The course is mainly for PhD students in IEOR, computer science, mathematics, statistics and business school, who have taken courses in stochastic analysis, and are familiar with optimization and differential equations. Exceptional MS students with similar training may also take the course. The grading is based on the performance in the class including presentation and participation.
This intensive 15-week course during the first semester of the DPT curriculum provides students with detailed coverage of human anatomy through lecture and cadaver dissection. The focus of the course is on structure and the integral relationship between structure and function. A comprehensive understanding of normal structure and function provides the foundation for understanding abnormal structure and function. Both the lecture and laboratory components of the course are critical to success in the program and as a competent entry-level clinician. This course uses a regional approach to study the gross anatomical structures of the human body, with emphasis on the musculoskeletal system and its associated vascular and neural elements. The structure of synovial joints and their soft tissue support systems will be addressed. The thoracic, abdominal, and pelvic cavities will be explored. Aspects of structure and function as they relate to clinical correlates will be highlighted throughout the course.
Course changes from 1.5 to 3.00
.
Prerequisite: Public Health P6104 and working knowledge of calculus. Fundamentals, random variables, and distribution functions in one or more dimensions: moments, conditional probabilities, and densities; Laplace transforms and characteristic functions. Infinite sequences of random variables, weak and strong large numbers: central limit theorem
With an orientation towards practical application and real life experience, this course examines the historical behavior, impact and potential of the local financial sector in developing countries as one of, if not, the critical factor in achieving sustainable growth. Ineffective banks and financial institutions, underdeveloped capital markets, and inadequate or incomplete regulation create major obstacles to sustainable development. Via case studies, propriety materials and guest lectures, we will examine and discuss (1) the latest enhancements in banking techniques and analytics, (2) the increasing use of modeling at both the transaction and portfolio/sectoral level, and (3) the improvements to regulatory oversight that are buttressing developing nations’ abilities to grow sustainably and constrain adverse economic shocks in the aftermath of the 2008 Global Financial crisis. We also will evaluate the proper role of the State in Financial activities and the intersect between the efforts of International Financial Institutions (Development Banks & the IMF) and local financial institutions in achieving sustainable development, alleviating extreme poverty and the broader achievement of the Sustainable Development Goals.
The first portion of this course provides an introductory-level mathematical treatment of the fundamental principles of probability theory, providing the foundations for statistical inference. Students will learn how to apply these principles to solve a range of applications. The second portion of this course provides a mathematical treatment of (a) point estimation, including evaluation of estimators and methods of estimation; (b) interval estimation; and (c) hypothesis testing, including power calculations and likelihood ratio testing.
Prerequisite: Public Health P8104 and P8109 or the equivalent. Clinical trials concerning chronic disease, comparison of survivorship functions, parametric models for patterns of mortality and other kinds of failures, and competing risks.
Prerequisite: Public Health P6104, P8100 and a working knowledge of calculus. An introduction to the application of statistical methods in survival analysis, generalized linear models, and design of experiments. Estimation and comparison of survival curves, regression models for survival data, log-linear models, logit models, analysis of repeated measurements, and the analysis of data from blocked and split-plot experiments. Examples drawn from the health sciences.
With the pilot as a focal point, this course explores the opportunities and challenges of telling and sustaining a serialized story over a protracted period of time with an emphasis on the creation, borne out of character, of the quintessential premise and the ongoing conflict, be it thematic or literal, behind a successful series.
Early in the semester, students may be required to present/pitch their series idea. During the subsequent weeks, students will learn the process of pitching, outlining, and writing a television pilot, that may include story breaking, beat-sheets or story outline, full outlines, and the execution of either a thirty-minute or hour-long teleplay. This seminar may include reading pages and giving notes based on the instructor but may also solely focus on the individual process of the writer.
Students may only enroll in one TV Writing workshop per semester.
This course provides an overview of anesthetics, adjuvants, and critical care medications commonly used in anesthesia practice with emphasis on application of theoretical foundations.
The colloquium will read key texts in political thought and empirical studies written to consider the character and the future of liberal democracy during the 1940s and 1950s, and into the 1960s, a time of great pressure and intellectual imagination. The seminar will concentrate on major protagonists at a time of reappraisal for liberal democracy after traumas of the great depression, the temporary triumph of Fascism and Nazism, the unprecedented violence and horror of the recent world war, the challenge of expanding Bolshevism, and the start of widespread decolonization. Their themes, and ours, include political pluralism and governmental stability; the nature and purposes of political parties; political leadership; the role of public opinion; the relation of civil society to the state; national security; contours of membership; individual liberty and the social conditions of equality. The course’s motivation lies in our present circumstances. Contemporary pressures faced by constitutional democracies bring us back to these towering figures for two principal reasons. These scholars responded creatively to the manifest difficulties experienced by older liberal regimes to successfully bond with mass democracy and bear pluralism. Facing this history, these authors crafted models and propositions we wish to consider that concern how to provide foundations for thriving and secure democracies in societies that are pluralistic in socio-economic interests, demography, and partisan views.
This is a Law School course. For more detailed course information, please go to the Law School Curriculum Guide at: http://www.law.columbia.edu/courses/search
This 16 week course during the first semester of the DPT curriculum provides students with a theoretical basis for understanding the body's physiological responses to exercise. Emphasis will be placed upon the practical application of exercise physiology principles in physical therapy practice. This course is designed to provide an integrative view of human exercise physiology. This class will cover the acute and chronic adaptations to exercise including the cardiovascular, respiratory, neuromuscular and metabolic systems in relation to acute and chronic exercise.
This is a Public Health Course. Public Health classes are offered on the Health Services Campus at 168th Street. For more detailed course information, please go to Mailman School of Public Health Courses website at http://www.mailman.hs.columbia.edu/academics/courses
This course continues the actor’s work of experiencing voice and text in a free body as a means to develop versatile and transformative speech. Students will deepen and refine their knowledge of the phonemes of the International Phonetic Alphabet (IPA), as well as the ability to categorize and utilize Lexical Sets in pursuit of a dialect/accent. Students will demonstrate their ability to notate texts and transcribe dialects and accents into both IPA and practically apply the framework of the Four Pillars and the Voice Recipe. The student will use these tools, supplemented by handouts, video & audio resources and independent research, to study several accents/dialects in class as well as at least one additional independently researched accent/dialect. The goal of the class is to expand upon the actor’s choices of speech and vocal expression and to acquaint her/him with the resources necessary to truthfully portray an individual utilizing a dialect/accent on stage or screen.
Students will develop their own unique process for learning accents and dialects
, as well as efficiently and effectively applying their progression to texts via a combination of practice sentences, scene work, conversation, improvisation, cold readings, and a prepared monologue. Students will complete the course having created a personal, in-depth method for researching and performing a role in which an accent or dialect is required. Students will do self-directed and supported research as part of their study. They will consciously and intelligently assimilate this contextual research into their embodiment choices. The final project is a presentation of their research and the sharing of a monologue that is ideally
written in the student’s selected dialect or accent
.
Substantive questions in empirical scientific and policy research are often causal. This class will introduce students to both statistical theory and practice of causal inference. As theoretical frameworks, we will discuss potential outcomes, causal graphs, randomization and model-based inference, causal mediation, and sufficient component causes. We will cover various methodological tools including randomized experiments, matching, inverse probability weighting, instrumental variable approaches, dynamic causal models, sensitivity analysis, statistical methods for mediation and interaction. We will analyze the strengths and weaknesses of these methods. The course will draw upon examples from social sciences, public health, and other disciplines. The instructor will illustrate application of the approaches using R/SAS/STATA software. Students will be evaluated and will deepen the understanding of the statistical principles underlying the approaches as well as their application in homework assignments, a take home midterm, and final take home practicum.
This is a course at the intersection of statistics and machine learning, focusing on graphical models. In complex systems with many (perhaps hundreds or thousands) of variables, the formalism of graphical models can make representation more compact, inference more tractable, and intelligent data-driven decision-making more feasible. We will focus on representational schemes based on directed and undirected graphical models and discuss statistical inference, prediction, and structure learning. We will emphasize applications of graph-based methods in areas relevant to health: genetics, neuroscience, epidemiology, image analysis, clinical support systems, and more. We will draw connections in lecture between theory and these application areas. The final project will be entirely “hands on,” where students will apply techniques discussed in class to real data and write up the results.
This is the first of a 2-part series. This is a comprehensive lecture/laboratory/seminar course in the first semester of the DPT curriculum which establishes foundational knowledge of normal human movement. Fundamental biomechanical and kinesiological principles, including kinematics and kinetics, of human movement are integrated with knowledge of anatomical structures under normal and pathological conditions. Each joint complex of the human body is scrutinized and integrated with a regional approach to human movement. The course begins with an introduction to the mechanical properties of connective tissue and muscle mechanics. Essential principles of biomechanics including gravity, friction, leverage, composition and resolution of internal and external forces in movement production are presented. These topics are integrated into kinesiology survey of the human body organized by anatomical region. Specific attention will be given to the relationship between anatomical structure and kinesiological function, joint classification, osteokinematics, arthrokinematics, muscle and ligament function, kinematic chains and alignment. There is an emphasis on kinematics and muscle function in normal functional movements. Pathological movement is introduced. The laboratory component highlights surface anatomy palpation with emphasis on structure identification, positioning, body mechanics and hand placement. Optional seminar classes are small group integrative discussion sessions in which students who wish to attend come with prepared questions on course material. Both lecture and laboratory incorporate observation and analysis of normal movement of the limbs and trunk, and selected examples.
The purpose of this course is to provide a comprehensive and in-depth background in acute and critical care pharmacotherapy. This course will address the pharmacology and appropriate clinical use of agents used in the treatment of selected acute disorders found in acutely/critically ill patients. Recent advances in pharmacotherapy, personalized management strategies, and controversial issues will be included and emphasized.
FILM AF 8131 Intro to Pilot: Comedy
With the comedy pilot as a focal point, (and by comedy, that could also include dramedies like
Transparent
and
Insecure
) this course explores the opportunities and challenges of telling and sustaining a serialized half-hour story over a protracted period of time with an emphasis on the creation, borne out of character, of the quintessential premise and the ongoing conflict, be it thematic or literal, behind a successful series.
Early in the semester, students may be required to present/pitch their series idea. During the subsequent weeks, students will learn the process of pitching, outlining, and writing a television pilot, that may include story breaking, beat-sheets or story outline, full outlines, and the execution of a thirty-minute teleplay. This seminar may include reading pages and giving notes based on the instructor but may also solely focus on the individual process of the writer.
Students may only enroll in one TV Writing workshop per semester.
Prerequisite: Public Health P6104 or the equivalent. Fundamental methods and concepts of the randomized clinical trial; protocol development, randomization, blindedness, patient recruitment, informed consent, compliance, sample size determination, cross-overs, collaborative trials. Each student prepares and submits the protocol for a real or hypothetical clinical trial.
The course will introduce to the students a series of frameworks for understanding the working of the Chinese economy. While the country of focus is China, we will discuss a set of topics on the interactions among business, government, and society that are essential in all emerging market economies, including industrial policy, trade policy, digital economy, and financial liberalization. China is on course to become the world’s largest economy in terms of GDP, but it remains an enigma for global investors and firms. It presents both ignore-at-your-peril opportunities given its high growth rates and large market size, and at the same time enormous challenges in terms of risk management given its domestic complexities and evolving geopolitics. A key feature of the course is that it will be data-driven and fact-driven. The aim is to separate fundamental factors from noises. Some of the sessions will feature guest speakers. By the end of the course, you will gain a new perspective on the Chinese economy, and recognize many flaws in conventional wisdoms, media labels, and official pronouncements. The new knowledge will give you a set of tools to navigate China and the global economy.
Prerequisites: At least one course each in probability and genetics and the instructor's permission. Fundamental principles of population genetics, with emphasis on human populations. Genetic drift; natural selection; nonrandom mating; quantitave genetics; linkage analysis; and applications of current technology (e.g. SNPs). Students will master basic principles of population genetics and will be able to model these principles mathematically/statistically.
Prerequisite: Public Health P8111. Features of repeated measurements studies; balance in time, time-varying covariates, and correlation structure. Examination of the models for continuous repeated measures based on normal theory; random effects models, mixed models, multivariate analysis of variance, growth curve models, and autoregressive models. Non-parametric approaches and models for repeated binary data. Applications of generalized linear models to repeated data. Empirical Bayes approaches are discussed as time allows.
The goal of this seminar is to discuss the relationship between economics and politics in eighteenth-century debates about political economy. The focus is on primary texts (Mandeville, Montesquieu, Hume, Rousseau, Smith, Say). We will also introduce students to some of the most influential historiography, with a discussion of the principal concepts used in eighteenth-century intellectual history, such as republicanism, civic humanism, neo-Stoicism, neo-Epicureanism, the Montesquieu-Steuart doctrine, and
doux commerce
.
This colloquium provides an intensive exploration of the Atlantic World during the early modern era. Readings will attend to the sequence of contact, conquest, and dispossession that enabled the several European empires to gain political and economic power. In this regard, particular attention will be given to the role of commerce and merchant capitalism in the formation of the Atlantic World. The course will focus also, however, on the dynamics of cultural exchange, on the two-way influences that pushed the varied peoples living along the Atlantic to develop new practices, new customs, and new tastes. Creative adaptations in the face of rapid social and cultural change will figure prominently in the readings. Students may expect to give sustained attention the worlds Africans, Amerindians, and Europeans both made together and made apart.
Prerequisites: Public Health P6104. Introduction to the principles of research data management and other aspects of data coordination using structured, computer-based exercises. Targeted to students with varying backgrounds and interests: (1) established and prospective investigators, scientists, and project leaders who want to gain a better understanding of the principles of data management to improve the organization of their own research, make informed decisions in assembling a data management team, and improve their ability to communicate with programmers and data analysts; and (2) students considering a career in data management, data analysis, or the administration of a data coordinating center.